Michael Rosen (mathematician)
Michael Ira Rosen (born 7 March 1938 in Brooklyn) is an American mathematician who works on algebraic number theory, arithmetic theory of function fields, and arithmetic algebraic geometry.
Rosen earned a bachelor's degree from Brandeis University in 1959 and a PhD from Princeton University in 1963 under John Coleman Moore with thesis Representations of twisted group rings. He is a mathematics professor at Brown University.
Rosen is known for his textbooks, especially for the book with co-author Kenneth Ireland on number theory, which was inspired by ideas of André Weil; this book A Classical Introduction to Modern Number Theory gives an introduction to zeta functions of algebraic curves, the Weil conjectures, and the arithmetic of elliptic curves.
- with Kenneth Ireland: A classical introduction to modern number theory, Springer, Graduate Texts in Mathematics, 1982, 2nd edn. 1992, ISBN 038797329X (Rosen and Ireland earlier published Elements of number theory; including an introduction to equations over finite fields, Bogden and Quigley, 1972)
- Number theory in function fields, Springer, Graduate Texts in Mathematics, 2002, ISBN 0-387-95335-3
- Remarks on the history of Fermat’s last theorem 1844 to 1984, in Cornell, Silverman, Stevens (eds.): Modular forms and Fermat's last theorem, pp. 505–525, Springer, New York 1997.
- Abel’s theorem on the lemniscate, American Mathematical Monthly 88, 1981, pp. 387–395
- Niels Hendrik Abel and equations of the fifth degree, American Mathematical Monthly 1995
- for example, Weil's essay on Gaussian sums and cyclotomic fields, La cyclotomie jadis et naguère, 1974
- American Mathematical Monthly 102, 1995, pp. 495–505
- Goss, David (2004). "Review: Number theory in function fields, by Michael Rosen". Bull. Amer. Math. Soc. (N.S.) 41 (1): 127–133. doi:10.1090/s0273-0979-03-00999-6.
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